Convert a recurring decimal to a fraction #2

How to convert 0.2315315315... to a fraction.
SUBTITLED
0:00 Introduction
0:20 Ordinary notation
0:40 Use Algebra
0:55 How many digits are repeating?
1:08 Multiply by 1000
1:40 Subtract
2:28 Divide
2:45 Simplify fraction
3:05 Cancel
3:45 Check

[@KarlFredrik]

Nice with maths to the morning coffee:)

[@MathsWithJay]

Enjoy!

[@michaelempeigne3519]

257 is a prime number

[@MathsWithJay]

So what does that tell us?

[@michaelempeigne3519]

@@MathsWithJay and 37*3 = 111 so 1110 = 3*37*2*5 which has nothing in commin with 257

[@geraldillo]

@@michaelempeigne3519 that is why it is a fraction